document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314212>Question 314212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "  I cant even get started on this problem after reviewing my textbook all day. Any help is greatly appreciated!\r<BR>\n" );
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document.write( "14 Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.<BR>\n" );
document.write( "A rectangular cabinet door has a 20 inch by 38 inch glass panel in the center with a uniform wooden edge around the glass. If the area of the wooden edge is 248 square inches, how wide is the wooden edge? \r<BR>\n" );
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document.write( "Thank you, Daniel\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224639 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224639\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve using the five-step problem-solving process.<BR>\n" );
document.write( " Show all steps necessary to arrive at your solution.<BR>\n" );
document.write( "A rectangular cabinet door has a 20 inch by 38 inch glass panel in the center <BR>\n" );
document.write( "with a uniform wooden edge around the glass.<BR>\n" );
document.write( " If the area of the wooden edge is 248 square inches, how wide is the wooden edge?<BR>\n" );
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document.write( "Let x = the width of the wooden edge<BR>\n" );
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document.write( "Find the total area of the glass and the edge<BR>\n" );
document.write( "(20*38) + 248 = 1008 sq/in<BR>\n" );
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document.write( "The dimensions of the total area, which include the wooden edge, will be:<BR>\n" );
document.write( "(2x+20) by (2x+38)<BR>\n" );
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document.write( "The total area equation<BR>\n" );
document.write( "(2x+20) * (2x+38) = 1008<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "4x^2 + 76x + 40x + 760 = 1008<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "4x^2 + 116x + 760 - 1008 = 0<BR>\n" );
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document.write( "4x^2 + 116x - 248 = 0<BR>\n" );
document.write( "Simplify, divide by 4, resulting in<BR>\n" );
document.write( "x^2 + 29x - 62 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x+31)(x-2) = 0<BR>\n" );
document.write( "positive solution only is what we want here<BR>\n" );
document.write( "x = 2 in is the width of the wooden edge<BR>\n" );
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document.write( "Check solution finding the difference in area<BR>\n" );
document.write( "24 * 42 = 1008, overall area<BR>\n" );
document.write( "20 * 38 =  760, glass area<BR>\n" );
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document.write( " differ: = 348, given area of wooden edge<BR>\n" );
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